TSTP Solution File: MGT022+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT022+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 14:00:46 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 105 ( 39 ~; 50 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(a5,plain,
! [A,D,B,C] :
( ( ~ constant(resources(A,D))
| constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B)) )
& ( ~ decreases(resources(A,D))
| increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+1.tptp',unknown),
[] ).
cnf(173816872,plain,
( ~ constant(resources(A,D))
| constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B)) ),
inference(rewrite,[status(thm)],[a5]),
[] ).
fof(prove_l4,plain,
( ( environment(e)
| constant(resources(e,t)) )
& ( subpopulations(first_movers,efficient_producers,e,t)
| constant(resources(e,t)) )
& ( decreases(resources(e,t))
| constant(resources(e,t)) )
& ( ~ increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))
| constant(resources(e,t)) )
& ( environment(e)
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) )
& ( subpopulations(first_movers,efficient_producers,e,t)
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) )
& ( decreases(resources(e,t))
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) )
& ( ~ increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) )
& ( environment(e)
| environment(e) )
& ( subpopulations(first_movers,efficient_producers,e,t)
| environment(e) )
& ( decreases(resources(e,t))
| environment(e) )
& ( ~ increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))
| environment(e) )
& ( environment(e)
| subpopulations(first_movers,efficient_producers,e,t) )
& ( subpopulations(first_movers,efficient_producers,e,t)
| subpopulations(first_movers,efficient_producers,e,t) )
& ( decreases(resources(e,t))
| subpopulations(first_movers,efficient_producers,e,t) )
& ( ~ increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))
| subpopulations(first_movers,efficient_producers,e,t) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+1.tptp',unknown),
[] ).
cnf(174032400,plain,
environment(e),
inference(rewrite,[status(thm)],[prove_l4]),
[] ).
cnf(205701336,plain,
( ~ constant(resources(e,C))
| constant(difference(disbanding_rate(A,C),disbanding_rate(B,C)))
| ~ subpopulations(A,B,e,C)
| ~ greater(resilience(B),resilience(A)) ),
inference(resolution,[status(thm)],[173816872,174032400]),
[] ).
fof(a2,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+1.tptp',unknown),
[] ).
cnf(173821680,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(rewrite,[status(thm)],[a2]),
[] ).
cnf(205750768,plain,
( ~ constant(resources(e,A))
| constant(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))
| ~ subpopulations(first_movers,efficient_producers,e,A) ),
inference(resolution,[status(thm)],[205701336,173821680]),
[] ).
cnf(174017480,plain,
subpopulations(first_movers,efficient_producers,e,t),
inference(rewrite,[status(thm)],[prove_l4]),
[] ).
cnf(205779408,plain,
( ~ constant(resources(e,t))
| constant(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) ),
inference(resolution,[status(thm)],[205750768,174017480]),
[] ).
cnf(173797952,plain,
( ~ decreases(resources(A,D))
| increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B)) ),
inference(rewrite,[status(thm)],[a5]),
[] ).
cnf(205683928,plain,
( ~ decreases(resources(e,C))
| increases(difference(disbanding_rate(A,C),disbanding_rate(B,C)))
| ~ subpopulations(A,B,e,C)
| ~ greater(resilience(B),resilience(A)) ),
inference(resolution,[status(thm)],[173797952,174032400]),
[] ).
cnf(205740728,plain,
( ~ decreases(resources(e,A))
| increases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))
| ~ subpopulations(first_movers,efficient_producers,e,A) ),
inference(resolution,[status(thm)],[205683928,173821680]),
[] ).
cnf(205761472,plain,
( ~ decreases(resources(e,t))
| increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) ),
inference(resolution,[status(thm)],[205740728,174017480]),
[] ).
cnf(174051344,plain,
( ~ increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))
| constant(resources(e,t)) ),
inference(rewrite,[status(thm)],[prove_l4]),
[] ).
fof(mp_constant_not_decrease,plain,
! [A] :
( ~ constant(A)
| ~ decreases(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+1.tptp',unknown),
[] ).
cnf(173739096,plain,
( ~ constant(A)
| ~ decreases(A) ),
inference(rewrite,[status(thm)],[mp_constant_not_decrease]),
[] ).
cnf(205806128,plain,
~ decreases(resources(e,t)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[205761472,174051344,173739096]),
[] ).
cnf(174060392,plain,
( decreases(resources(e,t))
| constant(resources(e,t)) ),
inference(rewrite,[status(thm)],[prove_l4]),
[] ).
cnf(205812416,plain,
constant(resources(e,t)),
inference(resolution,[status(thm)],[205806128,174060392]),
[] ).
cnf(174046208,plain,
( decreases(resources(e,t))
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) ),
inference(rewrite,[status(thm)],[prove_l4]),
[] ).
cnf(205787840,plain,
( ~ constant(resources(e,t))
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) ),
inference(resolution,[status(thm)],[173739096,174046208]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[205779408,205812416,205787840,173739096]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(a5,plain,(((~constant(resources(A,D))|constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))|~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B)))&(~decreases(resources(A,D))|increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))|~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+1.tptp',unknown),[]).
%
% cnf(173816872,plain,(~constant(resources(A,D))|constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))|~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))),inference(rewrite,[status(thm)],[a5]),[]).
%
% fof(prove_l4,plain,(((environment(e)|constant(resources(e,t)))&(subpopulations(first_movers,efficient_producers,e,t)|constant(resources(e,t)))&(decreases(resources(e,t))|constant(resources(e,t)))&(~increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))|constant(resources(e,t)))&(environment(e)|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))))&(subpopulations(first_movers,efficient_producers,e,t)|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))))&(decreases(resources(e,t))|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))))&(~increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))))&(environment(e)|environment(e))&(subpopulations(first_movers,efficient_producers,e,t)|environment(e))&(decreases(resources(e,t))|environment(e))&(~increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))|environment(e))&(environment(e)|subpopulations(first_movers,efficient_producers,e,t))&(subpopulations(first_movers,efficient_producers,e,t)|subpopulations(first_movers,efficient_producers,e,t))&(decreases(resources(e,t))|subpopulations(first_movers,efficient_producers,e,t))&(~increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))|subpopulations(first_movers,efficient_producers,e,t)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+1.tptp',unknown),[]).
%
% cnf(174032400,plain,(environment(e)),inference(rewrite,[status(thm)],[prove_l4]),[]).
%
% cnf(205701336,plain,(~constant(resources(e,C))|constant(difference(disbanding_rate(A,C),disbanding_rate(B,C)))|~subpopulations(A,B,e,C)|~greater(resilience(B),resilience(A))),inference(resolution,[status(thm)],[173816872,174032400]),[]).
%
% fof(a2,plain,(greater(resilience(efficient_producers),resilience(first_movers))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+1.tptp',unknown),[]).
%
% cnf(173821680,plain,(greater(resilience(efficient_producers),resilience(first_movers))),inference(rewrite,[status(thm)],[a2]),[]).
%
% cnf(205750768,plain,(~constant(resources(e,A))|constant(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))|~subpopulations(first_movers,efficient_producers,e,A)),inference(resolution,[status(thm)],[205701336,173821680]),[]).
%
% cnf(174017480,plain,(subpopulations(first_movers,efficient_producers,e,t)),inference(rewrite,[status(thm)],[prove_l4]),[]).
%
% cnf(205779408,plain,(~constant(resources(e,t))|constant(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))),inference(resolution,[status(thm)],[205750768,174017480]),[]).
%
% cnf(173797952,plain,(~decreases(resources(A,D))|increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))|~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))),inference(rewrite,[status(thm)],[a5]),[]).
%
% cnf(205683928,plain,(~decreases(resources(e,C))|increases(difference(disbanding_rate(A,C),disbanding_rate(B,C)))|~subpopulations(A,B,e,C)|~greater(resilience(B),resilience(A))),inference(resolution,[status(thm)],[173797952,174032400]),[]).
%
% cnf(205740728,plain,(~decreases(resources(e,A))|increases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))|~subpopulations(first_movers,efficient_producers,e,A)),inference(resolution,[status(thm)],[205683928,173821680]),[]).
%
% cnf(205761472,plain,(~decreases(resources(e,t))|increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))),inference(resolution,[status(thm)],[205740728,174017480]),[]).
%
% cnf(174051344,plain,(~increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))|constant(resources(e,t))),inference(rewrite,[status(thm)],[prove_l4]),[]).
%
% fof(mp_constant_not_decrease,plain,(~constant(A)|~decreases(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+1.tptp',unknown),[]).
%
% cnf(173739096,plain,(~constant(A)|~decreases(A)),inference(rewrite,[status(thm)],[mp_constant_not_decrease]),[]).
%
% cnf(205806128,plain,(~decreases(resources(e,t))),inference(forward_subsumption_resolution__resolution,[status(thm)],[205761472,174051344,173739096]),[]).
%
% cnf(174060392,plain,(decreases(resources(e,t))|constant(resources(e,t))),inference(rewrite,[status(thm)],[prove_l4]),[]).
%
% cnf(205812416,plain,(constant(resources(e,t))),inference(resolution,[status(thm)],[205806128,174060392]),[]).
%
% cnf(174046208,plain,(decreases(resources(e,t))|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))),inference(rewrite,[status(thm)],[prove_l4]),[]).
%
% cnf(205787840,plain,(~constant(resources(e,t))|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))),inference(resolution,[status(thm)],[173739096,174046208]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[205779408,205812416,205787840,173739096]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------